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Simplifying 1 + 11(x + -10) = -2(-1x + 2) + -6x Reorder the terms: 1 + 11(-10 + x) = -2(-1x + 2) + -6x 1 + (-10 * 11 + x * 11) = -2(-1x + 2) + -6x 1 + (-110 + 11x) = -2(-1x + 2) + -6x Combine like terms: 1 + -110 = -109 -109 + 11x = -2(-1x + 2) + -6x Reorder the terms: -109 + 11x = -2(2 + -1x) + -6x -109 + 11x = (2 * -2 + -1x * -2) + -6x -109 + 11x = (-4 + 2x) + -6x Combine like terms: 2x + -6x = -4x -109 + 11x = -4 + -4x Solving -109 + 11x = -4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -109 + 11x + 4x = -4 + -4x + 4x Combine like terms: 11x + 4x = 15x -109 + 15x = -4 + -4x + 4x Combine like terms: -4x + 4x = 0 -109 + 15x = -4 + 0 -109 + 15x = -4 Add '109' to each side of the equation. -109 + 109 + 15x = -4 + 109 Combine like terms: -109 + 109 = 0 0 + 15x = -4 + 109 15x = -4 + 109 Combine like terms: -4 + 109 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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